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Finding the Fourth Proportional to 3,775.64, 5,663.50 and 1,143.16

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Solution

The fourth proportional to 3,775.64, 5,663.50 and 1,143.16 is: 1,714.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.64 : 5,663.50 = 1,143.16 : x
  2. Step 2: Convert to fraction form
    3,775.64/5,663.50 = 1,143.16/x
  3. Step 3: Cross multiply
    3,775.64x = 5,663.50 × 1,143.16
  4. Step 4: Simplify right side
    3,775.64x = 6,474,269.64
  5. Step 5: Solve for x
    x = 6,474,269.64/3,775.64
  6. Step 6: Final answer
    x = 1,714.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.